Transcript The Third Law:

•
An artillery shell has a mass of 55 kg.
The projectile is fired from the piece and
has a velocity of 770 m/s when it leaves
the barrel. The gun barrel is 1.5 m long.
Assuming the force and therefore the
acceleration is constant while the
projectile is in the barrel, what is the
force that acted on the projectile?
Solution
• Find a:
v 2  vo 2  2ax
2
v 2  0  2ax
m
1

a   770 
s  2 1.5 m 

v2
a
2x
m
 197 600 2
s
m
 2.0 x 10 2
s
5
Find the force:
m

F  ma  55 kg  2.0 x 105 2   110 x 105 N
s 


1.1 x 107 N
The Third Law:
Third Law  If two objects interact, the
force exerted on object 1 by object 2 is
equal in magnitude but opposite in
direction to the force exerted on object 2
by object 1.
•
•
•
•
•
The classic way of saying this is, “For every action there is an equal and opposite
reaction”.
Newton’s third law simply says that forces come in pairs. You push on a wall and the
wall pushes on you. We call these action/reaction force pairs.
One of the skills most people master is walking. We rarely think about the act of
walking – you don’t have to concentrate on it, it’s just something that you can do. It
turns out, however, that walking is a fairly sophisticated application of Newton’s laws
of motion.
The key to walking is the third law. You push against the ground and the ground
pushes you. All there is to it. But how does that make you move? Okay, you takes
your basic second law. It goes like this; you exert a force on the ground and it exerts
a force on you. The two forces are equal and opposite. The force exerted on you by
the earth causes you to accelerate. The size of the acceleration depends on the
force and your mass. F = ma. Because your mass isn’t very big compared to the
earth, you end up with a pretty good acceleration – enough to make you move.
What about the earth? It also had a force exerted on it – the one from your foot
pushing on it. Does it also get accelerated? Well, yes, it has to. The same
magnitude force is acting on it. Why then don’t you notice the earth moving away
from you? The second law is involved here. F = ma, but this time the mass of the
earth is huge (6.0 x 1024 kg ) compared to your mass. If your mass is 60 kg, the
earth is 1023 times more massive than you. That means that the acceleration acting
on the earth is 1023 times smaller than your acceleration. It is so small that it cannot
be measured.
But it is real.
Because the forces are the same, the mass times
the acceleration has to equal the same thing. So
we get:
m
earth
a
earth
=
m
you
a
Rockets work because of the third law. A common
misconception is that a rocket works by pushing against air.
We know this is not true because rockets work in outer space
where there is no air to push against. The way a rocket works
is like this: hot gases, the products of combustion, are blasted
out of the end of the rocket. They are pushed away from the
rocket, but according to the third law if the rocket pushes the
exhaust gases away, the exhaust gases must push the rocket
in the opposite direction. So the rocket goes.
you
Rocket pushes
gas
gas pushes
rocket
The Third Law:
• Here is the classic third law conundrum. An
acquaintance tells you, “There’s no way a horse
can pull a wagon.”
• You say, “No way that’s true because horses pull
wagons all the time!” (You’ve been around, you
see, and no one can fool with you.)
• “No, I’m right. The horse can’t pull a wagon.
See, if the horse pulls on a wagon, then
according to the third law the wagon has to pull
on the horse with an equal and opposite force.
Since the two forces are equal and opposite,
they cancel out, so the horse can’t pull the cart!”
The argument sort of makes sense, but you know that it
has to be flawed because it is clearly not true. So what’s
the deal?
Action/reaction force pairs never cancel each other out – they can’t because
they are partners in the same action force. Can you touch your mother
without being touched by her? Does your mother touching your finger when
your finger touches her cancel out the touch? Can a single-hand clap?
The Third Law:
• In order to have forces cancel out; they have to be different forces.
An example of this would be if we had two horses hitched to the
same wagon pulling in opposite directions. The forces the horses
exert would then cancel out and the wagon wouldn’t move. These
would be two separate forces that do cancel out.
• The horse does indeed pull on the wagon and the wagon pulls on
the horse in accordance with the third law. The wagon pulling on the
horse results in keeping the horse from running off really fast – the
horse is slowed down by the extra mass of the cart, so its
acceleration is much smaller than if it were not hitched to the wagon.
• The horse moves, dragging the wagon with it, by pushing the earth
away from it. The earth pushes back on the horse, so the horse
and wagon move. The earth moves away as well, but, because its
mass is so huge (as previously discussed), we can’t measure its
acceleration.
What does this picture show about
Newton’s laws?
Newton's Second Thought Laws:
•1) A body at rest tends to watch television.
•2) A body acted upon by a force usually breaks.
•3) For every human action there is an overreaction.
HW pg 125-129
• Take notes
• Answer 1-5 an page 129